The hyperplanes of the U_4(3) near hexagon

B De Bruyn, Sergey Shpectorov

Research output: Contribution to journalArticle

1 Citation (Scopus)


Combining theoretical arguments with calculations in the computer algebra package GAP, we are able to show that there are 27 isomorphism classes of hyperplanes in the near hexagon for the group U (4)(3). We give an explicit construction of a representative of each class and we list several combinatorial properties of such a representative.
Original languageEnglish
JournalGraphs and Combinatorics
Publication statusPublished - 1 Jan 2010


  • Dual polar space
  • Near hexagon
  • Hyperplane
  • Minimal full polarized embedding
  • Universal embedding


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